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Yuki888 [10]
1 year ago
10

-4 + -7 (-2) =? Minus equations always give me trouble :/

Mathematics
2 answers:
USPshnik [31]1 year ago
8 0
<span>-4 + -7 (-2)
= -4 + 14 (a negative multiplies a negative equal positive)
= 10</span>
steposvetlana [31]1 year ago
6 0
The answer is 10.
-4+(-7)(-2)=
-4+14=
10
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Suppose you have a rectangular shipping box that measures 30 cm × 15 cm × 20 cm. What is the longest length of a 1 cm diameter w
atroni [7]
The longest length of dowel will feet in the dimension that will give us the highest length of the hypotenuse;
given that the dimension of our box is:
15 by 20 by 30:
this will be given by:
c^2=a^2+b^2+c^2
c^2=15^2+20^2+30^2
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1 year ago
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If a random variable X is exponentially distributed with parameter λ=2, then P(X≥1) is equal to
Rasek [7]

Answer:

D. 0.1353

B. 0.0473

Step-by-step explanation:

For an exponentially distributed random variable, the cumulative distribution function is:

P(x\leq a) = 1 - e^{-\lambda a}\\P(x\geq a) = e^{-\lambda a}

with parameter λ=2, then P(X≥1) is equal to:

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D. 0.1353

with parameter λ=1.5, then P(2≤X≤4) is equal to

P(2\leq x \leq 4) = P(x \leq 4) - P(x\leq 2)\\P(2\leq x \leq 4) =1 - (e^{-1.5*4}) - (1-(e^{-1.5*2}))\\P(2\leq x \leq 4) = 0.0473

B. 0.0473

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2 years ago
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Three containers have capacities if 3,5,and 9. How can you use these containers to measure exactly 9 liters of water
pishuonlain [190]
I'll have to know what the measurements of the containers. If it is in liters, then you would just use the container with the capacity of 9 liters. 

Hope this helped :)
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4 0
2 years ago
Upgrading a certain software package requires installation of 68 new files. Files are installed consecutively. The installation
ser-zykov [4K]

Answer:

The probability that the whole package is uppgraded in less then 12 minutes is 0,1271

Step-by-step explanation:

The mean distribution for the length of the installation (in seconds) of the programs will be denoted by X. Using the Central Limit Theorem, we can assume that X is normal (it will be pretty close). The mean of X is 15 and the variance is 15, hence, the standard deviation is √15 = 3.873.

We want to find the probability that the full installation process takes less than 12 minutes = 720 seconds. Then, in average, each program should take less than 720/68 = 10.5882 seconds to install. Hence, we want to find the probability of X being less than 10.5882. For that, we will take W, the standariation of X, given by the following formula

W = \frac{X-\mu}{\sigma} = \frac{X-15}{3.873}

We will work with \phi , the cummulative distribution function of the standard Normal variable W. The values of \phi can be found in the attached file.

P(X < 10.5882) = P(\frac{X-15}{3.873} < \frac{10.5882-15}{3.873}) = P(W < -1,14)

Since the density function of a standard normal random variable is symmetrical, then \phi(-1.14) = 1-\phi(1.14) = 1-0.8729 = 0.1271

Therefore, the probability that the whole package is uppgraded in less then 12 minutes is 0,1271.

Download pdf
7 0
1 year ago
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